On the uniqueness of the infinite cluster and the cluster density in the Poisson driven random connection model

We consider a random connection model (RCM) on a general space driven by a Poisson process whose intensity measure is scaled by a parameter \(t\ge 0\). We say that the infinite clusters are deletion stable if the removal of a Poisson point cannot split a cluster in two or more infinite clusters. We...

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Veröffentlicht in:	arXiv.org 2024-05
Hauptverfasser:	Chebunin, Mikhail, Last, Günter
Format:	Artikel
Sprache:	eng
Schlagworte:	Clusters Convexity Deletion Euclidean geometry Euclidean space Poisson density functions Stability criteria Uniqueness
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